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Finite Automata and Randomness

Conference paper
First Online:
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10952)

Abstract

The lecture surveys approaches using finite automata to define several notions of (automata-theoretic) randomness.

It focuses on the one hand on automata-theoretic randomness of infinite sequences in connection with automata-independent notions like disjunctivity and Borel normality.

On the other hand it considers the scale of relaxations of randomness (Borel normality and disjunctivity), that is, finite-state dimension and subword complexity and their interrelations.

Keywords

Finite automata Infinite words Betting automata Finite-state dimension Subword complexity 
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Copyright information

© IFIP International Federation for Information Processing 2018

Authors and Affiliations

  1. 1.Institut für InformatikMartin-Luther-Universität Halle-WittenbergHalle (Saale)Germany

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